Generic Incomparability of Infinite-Dimensional Entangled States

Physics – Quantum Physics

Scientific paper

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3 pages, final published version, minor adjustments

Scientific paper

10.1016/S0375-9601(02)01228-8

In support of a recent conjecture by Nielsen (1999), we prove that the
phenomena of 'incomparable entanglement'--whereby, neither member of a pair of
pure entangled states can be transformed into the other via local operations
and classical communication (LOCC)--is a generic feature when the states at
issue live in an infinite-dimensional Hilbert space.

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